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  • A Nonlinear Elimination Preconditioner for Fully Coupled Space-Time Solution Algorithm with Applications to High-Rayleigh Number Thermal Convective Flow Problems

    Haijian Yang, Feng-Nan Hwang
    2019-04-28
    DOI:10.4208/cicp.OA-2018-0191
    46231 3271 pp. 749-767
  • Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery

    Huiying Tang, Shihao Wang, Congbin Yin, Yuan Di, Yu-Shu Wu, Yonghong Wang
    2018-09-01
    DOI:10.4208/cicp.OA-2017-0108
    46099 5460 pp. 244-265
  • Modelling Thermo-Electro-Mechanical Effects in Orthotropic Cardiac Tissue

    Ricardo Ruiz-Baier, Alessio Gizzi, Alessandro Loppini, Christian Cherubini, Simonetta Filippi
    2020-03-06
    DOI:10.4208/cicp.OA-2018-0253
    53099 5418 pp. 87-115 Open Access
  • Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems

    Dongfang Li, Hong-Lin Liao, Weiwei Sun, Jilu Wang, Jiwei Zhang
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0080
    51383 5919 pp. 86-103
  • A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows

    Lei Xu, Rongliang Chen, Xiao-Chuan Cai
    2025-09-02
    DOI:10.4208/cicp.OA-2023-0019
    11846 889 pp. 547-574
  • A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

    Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu
    2019-02-25
    DOI:10.4208/cicp.OA-2018-0005
    47446 5581 pp. 233-264
  • Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs

    Tao Kong, Weidong Zhao, Tao Zhou
    2020-07-30
    DOI:10.4208/cicp.240515.280815a
    39424 3389 pp. 1482-1503
  • Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

    Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
    2023-03-13
    DOI:10.4208/cicp.OA-2022-0117
    46587 3648 pp. 367-398
  • Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media

    Rui Li, Haijian Yang, Chao Yang
    2021-10-26
    DOI:10.4208/cicp.OA-2021-0076
    47582 3279 pp. 1499-1528
  • Dispersive Shallow Water Wave Modelling. Part III: Model Derivation on a Globally Spherical Geometry

    Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova
    2018-08-21
    DOI:10.4208/cicp.OA-2016-0179c
    46635 3294 pp. 315-360
  • Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

    Yukun Li, Corey Prachniak, Yi Zhang
    2024-05-06
    DOI:10.4208/cicp.OA-2023-0172
    28052 2018 pp. 1003-1028
  • Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm

    Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault
    2023-09-04
    DOI:10.4208/cicp.OA-2022-0140
    33606 2905 pp. 261-289
  • A Parallel Domain Decomposition Algorithm for Simulating Blood Flow with Incompressible Navier-Stokes Equations with Resistive Boundary Condition

    Yuqi Wu, Xiao-Chuan Cai
    2020-07-31
    DOI:10.4208/cicp.060510.150511s
    39395 4030 pp. 1279-1299
  • Efficient Dual Algorithms for Image Segmentation Using TV-Allen-Cahn Type Models

    Li-Lian Wang, Ying Cu
    2011-09-01
    DOI:10.4208/cicp.221109.290710a
    38956 4052 pp. 859-877
  • Scalable Domain Decomposition Algorithms for Simulation of Flows Passing Full Size Wind Turbine

    Rongliang Chen, Zhengzheng Yan, Yubo Zhao, Xiao-Chuan Cai
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0196
    45238 3686 pp. 1503-1522
  • Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow

    Andrew Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise
    2025-04-27
    DOI:10.4208/cicp.OA-2023-0190
    9418 836 pp. 877-920 Open Access
  • Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

    Lele Liu, Hong Zhang, Xu Qian, Songhe Song
    2024-03-13
    DOI:10.4208/cicp.OA-2023-0143
    25120 2160 pp. 498-523
  • A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

    Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson
    2021-02-25
    DOI:10.4208/cicp.OA-2020-0119
    48592 3439 pp. 979-1029
  • Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

    Yuzhe Qin, Zhen Xu, Hui Zhang, Zhengru Zhang
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0175
    50340 3350 pp. 1389-1414
  • Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models

    Gayaz Khakimzyanov, Denys Dutykh
    2019-12-07
    DOI:10.4208/cicp.OA-2018-0294
    45681 3259 pp. 321-378
  • Finite Element Analysis for Nonstationary Magneto-Heat Coupling Problem

    Xue Jiang, Donghang Zhang, Linbo Zhang, Weiying Zheng
    2019-08-27
    DOI:10.4208/cicp.2019.js60.08
    48067 3500 pp. 1471-1489
  • Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation

    Seunggyu Lee, Junseok Kim
    2018-10-11
    DOI:10.4208/cicp.OA-2017-0260
    44661 3483 pp. 448-460
  • Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

    Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev, Nina Yu. Shokina
    2018-07-03
    DOI:10.4208/cicp.OA-2016-0179b
    47804 5538 pp. 30-92
  • On Time-Splitting Pseudospectral Discretization for Nonlinear Klein-Gordon Equation in Nonrelativistic Limit Regime

    Xuanchun Dong, Zhiguo Xu, Xiaofei Zhao
    2014-08-03
    DOI:10.4208/cicp.280813.190214a
    42503 4188 pp. 440-466
  • Multigrid Method for the Chan-Vese Model in Variational Segmentation

    Noor Badshah, Ke Chen
    2018-03-24
    38142 3903 pp. 294-316
  • Fully Kinetic, Electromagnetic Particle-in-Cell Simulations of Plasma Microturbulence

    J. L. V. Lewandowski, L. E. Zakharov
    2007-02-01
    38671 3991 pp. 684-722
  • Local Virtual Element Basis Functions for Space-Time Discontinuous Galerkin Schemes on Unstructured Voronoi Meshes

    Walter Boscheri, Giulia Bertaglia
    2024-09-06
    DOI:10.4208/cicp.OA-2024-0015
    24031 1668 pp. 348-388
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